(q-1)(q-1)=

Solution for (q-1)(q-1)= equation:

Simplifying
(q + -1)(q + -1) = 0

Reorder the terms:
(-1 + q)(q + -1) = 0

Reorder the terms:
(-1 + q)(-1 + q) = 0

Multiply (-1 + q) * (-1 + q)
(-1(-1 + q) + q(-1 + q)) = 0
((-1 * -1 + q * -1) + q(-1 + q)) = 0
((1 + -1q) + q(-1 + q)) = 0
(1 + -1q + (-1 * q + q * q)) = 0
(1 + -1q + (-1q + q2)) = 0

Combine like terms: -1q + -1q = -2q
(1 + -2q + q2) = 0

Solving
1 + -2q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(1 + -1q)(1 + -1q) = 0

Subproblem 1
Set the factor '(1 + -1q)' equal to zero and attempt to solve:

Simplifying
1 + -1q = 0

Solving
1 + -1q = 0

Move all terms containing q to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1q = 0 + -1
-1q = 0 + -1

Combine like terms: 0 + -1 = -1
-1q = -1

Divide each side by '-1'.
q = 1

Simplifying
q = 1
Subproblem 2
Set the factor '(1 + -1q)' equal to zero and attempt to solve:

Simplifying
1 + -1q = 0

Solving
1 + -1q = 0

Move all terms containing q to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1q = 0 + -1
-1q = 0 + -1

Combine like terms: 0 + -1 = -1
-1q = -1

Divide each side by '-1'.
q = 1

Simplifying
q = 1
Solution
q = {1, 1}